方程u_(tt)-u_(xx)-u_(xxtt)=f(u)的紧致差分格式

Compact u_(tt)-u_(xx)-u_(xxtt)=f(u) Difference Scheme of Equation

本文对方程utt-uxx-uxxtt=f(u)提出了一个紧致差分格式,证明了数值解的存在性和唯一性,分析了该格式的收敛性。

In this paper, a compact utt-uxx-uxxtt=f（u） difference scheme for the equation is proposed, the existence and the uniqueness of numerical solutions are proved and the convergence is discussed.